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Simplifying 2(4 + -2x) = -2(r + 5) (4 * 2 + -2x * 2) = -2(r + 5) (8 + -4x) = -2(r + 5) Reorder the terms: 8 + -4x = -2(5 + r) 8 + -4x = (5 * -2 + r * -2) 8 + -4x = (-10 + -2r) Solving 8 + -4x = -10 + -2r Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -4x = -10 + -8 + -2r Combine like terms: 8 + -8 = 0 0 + -4x = -10 + -8 + -2r -4x = -10 + -8 + -2r Combine like terms: -10 + -8 = -18 -4x = -18 + -2r Divide each side by '-4'. x = 4.5 + 0.5r Simplifying x = 4.5 + 0.5r
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